A priori estimates of the prescribed scalar curvature on the sphere.
| dc.contributor.author | García Camacho, Gonzalo | |
| dc.contributor.author | Posada, Liliana | |
| dc.date.accessioned | 2018-07-18T16:33:47Z | |
| dc.date.available | 2018-07-18T16:33:47Z | |
| dc.date.issued | 2018-07-18 | |
| dc.description.abstract | This paper considers the prescribed scalar curvature problem on the sphere for n ≥ 3. Given a prescribed scalar curvature function K : Sn → R and a centered dilation defined by Fy = Σ−1 ◦ Dβ ◦ Σ, y ∈ Bn+1, where Σ is the stereographic projection and Dβ is a dilation in Rn, in this work we estimate the gradient of the function K near the critical point of the function Jp(y) = Sn K(ζ)φp+1dσ(ζ) where φ(y) = |(F−1 y ) | n−2 2 . We will use this estimate to find Lp estimates of the first two y-derivatives of the function K ◦ Fy(ξ). | spa |
| dc.identifier.uri | https://hdl.handle.net/10893/11939 | |
| dc.language.iso | eng | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.subject | Metrics | spa |
| dc.subject | Conformal geometry | spa |
| dc.subject | Scalar curvature | spa |
| dc.title | A priori estimates of the prescribed scalar curvature on the sphere. | spa |
| dc.type | Artículo de revista | spa |
| dspace.entity.type | Publication |